A
alternative hypothesis9.1 Null and Alternative Hypotheses
B
binomial distribution7.3 Using the Central Limit Theorem, 9.3 Distribution Needed for Hypothesis Testing
binomial probability distribution4.3 Binomial Distribution (Optional)
bivariateIntroduction
Box plots2.4 Box Plots
box-and-whisker plots2.4 Box Plots
box-whisker plots2.4 Box Plots
C
categorical data1.2 Data, Sampling, and Variation in Data and Sampling
Categorical variables1.1 Definitions of Statistics, Probability, and Key Terms
central limit theoremIntroduction, 7.1 The Central Limit Theorem for Sample Means (Averages), 7.3 Using the Central Limit Theorem
central limit theorem for means7.1 The Central Limit Theorem for Sample Means (Averages)
central limit theorem for sums7.2 The Central Limit Theorem for Sums (Optional)
chi-square distribution11.1 Facts About the Chi-Square Distribution
coefficient of determination12.2 The Regression Equation
complement3.1 Terminology
confidence level8.1 A Single Population Mean Using the Normal Distribution, 8.3 A Population Proportion
continuity correction factor7.3 Using the Central Limit Theorem
continuous random variable5.3 The Exponential Distribution (Optional)
control group1.4 Experimental Design and Ethics
critical value6.2 Using the Normal Distribution
cumulative distribution function5.1 Continuous Probability Functions
cumulative distribution function (CDF)5.3 The Exponential Distribution (Optional)
Cumulative relative frequency1.3 Frequency, Frequency Tables, and Levels of Measurement
D
data1.1 Definitions of Statistics, Probability, and Key Terms, 1.1 Definitions of Statistics, Probability, and Key Terms
degrees of freedom (df)10.1 Two Population Means with Unknown Standard Deviations
descriptive statistics1.1 Definitions of Statistics, Probability, and Key Terms
double-blind experiment1.4 Experimental Design and Ethics
E
error bound8.3 A Population Proportion
error bound for a population mean8.1 A Single Population Mean Using the Normal Distribution
expected value4.2 Mean or Expected Value and Standard Deviation
expected values11.2 Goodness-of-Fit Test
Experimental Probability of Event A3.1 Terminology
exponential distribution5.3 The Exponential Distribution (Optional), 7.3 Using the Central Limit Theorem
F
F distribution13.2 The F Distribution and the F Ratio
first quartile2.3 Measures of the Location of the Data
G
geometric distribution4.4 Geometric Distribution (Optional)
geometric experiment4.4 Geometric Distribution (Optional)
H
hypergeometric experiment4.8 Discrete Distribution (Lucky Dice Experiment)
hypergeometric probability4.5 Hypergeometric Distribution (Optional)
hypotheses9.1 Null and Alternative Hypotheses
hypothesis test9.5 Additional Information and Full Hypothesis Test Examples, 9.6 Hypothesis Testing of a Single Mean and Single Proportion
hypothesis testing.Introduction
I
independent3.3 Two Basic Rules of Probability
independent events3.2 Independent and Mutually Exclusive Events
informed consent1.4 Experimental Design and Ethics
Institutional Review Boards (IRB)1.4 Experimental Design and Ethics
interquartile range2.3 Measures of the Location of the Data
L
law of large numbers7.3 Using the Central Limit Theorem
level of measurement1.3 Frequency, Frequency Tables, and Levels of Measurement
level of significance of the test9.4 Rare Events, the Sample, and the Decision and Conclusion
lurking variables1.4 Experimental Design and Ethics
M
margin of errorIntroduction
margin of error for a population mean8.1 A Single Population Mean Using the Normal Distribution
mathematical models1.1 Definitions of Statistics, Probability, and Key Terms
mean1.1 Definitions of Statistics, Probability, and Key Terms, 2.5 Measures of the Center of the Data, 4.2 Mean or Expected Value and Standard Deviation, Introduction, 7.1 The Central Limit Theorem for Sample Means (Averages), 7.3 Using the Central Limit Theorem
multivariateIntroduction
N
normal distribution8.2 A Single Population Mean Using the Student's t-Distribution, 9.3 Distribution Needed for Hypothesis Testing
normally distributed7.1 The Central Limit Theorem for Sample Means (Averages), 7.2 The Central Limit Theorem for Sums (Optional), 9.3 Distribution Needed for Hypothesis Testing
null hypothesis9.1 Null and Alternative Hypotheses, 9.4 Rare Events, the Sample, and the Decision and Conclusion
Numerical variables1.1 Definitions of Statistics, Probability, and Key Terms
P
p-value9.4 Rare Events, the Sample, and the Decision and Conclusion, 9.5 Additional Information and Full Hypothesis Test Examples
paired data set2.2 Histograms, Frequency Polygons, and Time Series Graphs
parameterIntroduction
percentiles2.3 Measures of the Location of the Data
point estimateIntroduction
Poisson probability distribution4.6 Poisson Distribution (Optional), 4.8 Discrete Distribution (Lucky Dice Experiment)
pooled proportion10.3 Comparing Two Independent Population Proportions
population1.1 Definitions of Statistics, Probability, and Key Terms, 1.2 Data, Sampling, and Variation in Data and Sampling
population variance11.6 Test of a Single Variance
potential outlier12.5 Outliers
probability density functionIntroduction
probability distribution function4.1 Probability Distribution Function (PDF) for a Discrete Random Variable
Q
Qualitative data1.2 Data, Sampling, and Variation in Data and Sampling
quantitative continuous data1.2 Data, Sampling, and Variation in Data and Sampling
Quantitative data1.2 Data, Sampling, and Variation in Data and Sampling
quantitative discrete data1.2 Data, Sampling, and Variation in Data and Sampling
R
random assignment1.4 Experimental Design and Ethics
Random variable10.1 Two Population Means with Unknown Standard Deviations, 10.2 Two Population Means with Known Standard Deviations
relative frequency1.3 Frequency, Frequency Tables, and Levels of Measurement, 2.2 Histograms, Frequency Polygons, and Time Series Graphs
representative sample1.1 Definitions of Statistics, Probability, and Key Terms
S
sampling distribution2.5 Measures of the Center of the Data
sampling variability of a statistic2.7 Measures of the Spread of the Data
simple random sample9.3 Distribution Needed for Hypothesis Testing
standard deviation2.7 Measures of the Spread of the Data, 8.2 A Single Population Mean Using the Student's t-Distribution, 9.3 Distribution Needed for Hypothesis Testing, 9.3 Distribution Needed for Hypothesis Testing, 9.4 Rare Events, the Sample, and the Decision and Conclusion, 10.1 Two Population Means with Unknown Standard Deviations
standard deviation of a discrete probability distribution4.2 Mean or Expected Value and Standard Deviation
standard error of the mean7.1 The Central Limit Theorem for Sample Means (Averages)
Student's t-distribution8.2 A Single Population Mean Using the Student's t-Distribution, 9.3 Distribution Needed for Hypothesis Testing, 9.3 Distribution Needed for Hypothesis Testing
sum of squared errors (SSE)12.2 The Regression Equation
T
test for homogeneity11.4 Test for Homogeneity
test of a single variance11.6 Test of a Single Variance
test of independence11.3 Test of Independence
Theoretical Probability of Event A3.1 Terminology
tree diagram3.5 Tree and Venn Diagrams
two-way table3.4 Contingency Tables
Type I error9.2 Outcomes and the Type I and Type II Errors, 9.4 Rare Events, the Sample, and the Decision and Conclusion
Type II error9.2 Outcomes and the Type I and Type II Errors
U
unfair3.1 Terminology
uniform distribution7.3 Using the Central Limit Theorem
Use the following information to answer the next three exercises3.6 Probability Topics